A086048 -id:A086048 - cp's OEIS frontend

A086044 Position of first occurrence of n in concatenated numbers (A033307, Champernowne constant).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 2, 17, 19, 21, 23, 25, 27, 29, 31, 16, 35, 3, 39, 41, 43, 45, 47, 49, 51, 18, 38, 57, 4, 61, 63, 65, 67, 69, 71, 20, 40, 60, 79, 5, 83, 85, 87, 89, 91, 22, 42, 62, 82, 101, 6, 105, 107, 109, 111, 24, 44, 64, 84, 104, 123, 7, 127

Offset: 0

Reinhard Zumkeller, Jul 07 2003

A033307(a(n)) = A000030(n).

Paul Tek, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Champernowne Constant

Cf. A086045, A086048.

With[{ch=Flatten[IntegerDigits/@Range[0,500]]},Table[ SequencePosition[ ch,IntegerDigits[n],1][[1]],{n,0,70}]][[All,1]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Sep 07 2020 *)

A086049 Position of first occurrence of n-th prime in concatenated primes (A033308, Copeland-Erdos constant).

Original entry on oeis.org

2, 3, 4, 5, 6, 8, 10, 12, 2, 16, 9, 20, 22, 24, 26, 28, 30, 32, 34, 5, 38, 40, 42, 44, 46, 48, 51, 54, 57, 7, 63, 8, 19, 72, 75, 78, 81, 84, 33, 37, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 64, 147, 150, 153, 16, 159, 67, 18

Offset: 1

Reinhard Zumkeller, Jul 07 2003

A033308(a(n)) = A000030(A000040(n));

A033308(a(n)+i) = A033307(A086044(A000040(n))+i), 0 <= i < A055642(A000040(n)).

Robert Israel, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Copeland-Erdos Constant

Cf. A033307, A033308, A086044, A086048, A086050.

N:= 100: # for a(1)..a(N)
S:= cat(".",seq(ithprime(i),i=1..N)):
seq(StringTools:-Search(convert(ithprime(i),string),S),i=1..N); # Robert Israel, Jun 28 2019

A086050 Position of second occurrence of n-th prime in concatenated primes (A033308, Copeland-Erdos constant).

Original entry on oeis.org

14, 9, 28, 11, 7, 19, 37, 99, 14, 121, 18, 39, 130, 219, 178, 184, 187, 238, 88, 11, 91, 94, 154, 202, 106, 481, 493, 2534, 529, 60, 146, 61, 69, 689, 254, 562, 287, 570, 87, 90, 1110, 578, 440, 586, 355, 442, 491, 602, 1153, 606, 1181, 1134, 1233, 1142

Offset: 1

Reinhard Zumkeller, Jul 07 2003

A033308(a(n))=A000030(A000040(n)); a(n)>A086049(n);

A033308(a(n)+i)=A033308(A086048(n)+i), 0<=i < A055642(A000040(n)).

cp's OEIS Frontend

A086044 Position of first occurrence of n in concatenated numbers (A033307, Champernowne constant).

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A086049 Position of first occurrence of n-th prime in concatenated primes (A033308, Copeland-Erdos constant).

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A086050 Position of second occurrence of n-th prime in concatenated primes (A033308, Copeland-Erdos constant).

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